Energetic ${\hat{I}}^3$-rays from TeV scale dark matter annihilation resummed

Abstract

The annihilation cross section of TeV scale dark matter particles $\ddot{I}{‡}^0$ with electroweak charges into photons is affected by large quantum corrections due to Sudakov logarithms and the Sommerfeld effect. We calculate the semi-inclusive photon energy spectrum in $\ddot{I}{‡}^0\ddot{I}{‡}^0\to {\hat{I}}^3+X$ in the vicinity of the maximal photon energy $E_{\hat{I}}^3=m_{\ddot{I}}‡$ with NLL' accuracy in an all-order summation of the electroweak perturbative expansion adopting the pure wino model. This results in the most precise theoretical prediction of the annihilation rate for ${\hat{I}}^3$-ray telescopes with photon energy resolution of parametric order $m_W^2/m_{\ddot{I}}‡$ for photons with TeV energies.

16 pages, v2: corrections implemented as detailed in Erratum: Phys.Lett.B 810, 135831 (2020)